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80055312 = 24317229199
BaseRepresentation
bin1001100010110…
…00110000010000
312120122020020120
410301120300100
5130443232222
611535510240
71661313261
oct461306020
9176566216
1080055312
1141209817
1222988380
131377c60c
14a8bc968
15706515c
hex4c58c10

80055312 has 120 divisors (see below), whose sum is σ = 228408000. Its totient is φ = 24127488.

The previous prime is 80055307. The next prime is 80055319. The reversal of 80055312 is 21355008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (80055319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402189 + ... + 402387.

It is an arithmetic number, because the mean of its divisors is an integer number (1903400).

Almost surely, 280055312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114204000).

80055312 is an abundant number, since it is smaller than the sum of its proper divisors (148352688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80055312 is a wasteful number, since it uses less digits than its factorization.

80055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 80055312 is about 8947.3634105249. The cubic root of 80055312 is about 430.9862202050.

The spelling of 80055312 in words is "eighty million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 199 204 232 272 289 348 398 408 464 493 578 597 696 796 816 867 986 1156 1194 1392 1479 1592 1734 1972 2312 2388 2958 3184 3383 3468 3944 4624 4776 5771 5916 6766 6936 7888 8381 9552 10149 11542 11832 13532 13872 16762 17313 20298 23084 23664 25143 27064 33524 34626 40596 46168 50286 54128 57511 67048 69252 81192 92336 98107 100572 115022 134096 138504 162384 172533 196214 201144 230044 277008 294321 345066 392428 402288 460088 588642 690132 784856 920176 1177284 1380264 1569712 1667819 2354568 2760528 3335638 4709136 5003457 6671276 10006914 13342552 20013828 26685104 40027656 80055312